{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import math\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.fftpack import fft,ifft\n",
    "import pandas as pd\n",
    "from scipy.optimize import minimize"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# N=20取log bin的函数\n",
    "\n",
    "def databin_20(lst):\n",
    "    result = [[]]    \n",
    "    length = len(lst)\n",
    "    n = 0\n",
    "    for i in range(length):\n",
    "        result[-1].append(math.log(lst[i],10))\n",
    "        n = n+1\n",
    "        if n ==20:\n",
    "            n = 0\n",
    "            result.append([])\n",
    "    result.pop()\n",
    "    output=[]\n",
    "    for j in range(len(result)):\n",
    "        output.append((np.median(result[j]))) \n",
    "    return output\n",
    "\n",
    "def databin_20_std(lst):\n",
    "    result = [[]]\n",
    "    length = len(lst)\n",
    "    n = 0\n",
    "    for i in range(length):\n",
    "        result[-1].append(math.log(lst[i],10))\n",
    "        n = n+1\n",
    "        if n == 20:\n",
    "            n = 0\n",
    "            result.append([]) \n",
    "    result.pop()\n",
    "    output=[]\n",
    "    for j in range(len(result)):\n",
    "        output.append(np.std(result[j]))\n",
    "    return output"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 参考 08 Arevalo 取log bin的函数\n",
    "\n",
    "def databin_are(lst,f):\n",
    "    result = [[]]\n",
    "    f_length = len(f)\n",
    "    f_i = f[0]\n",
    "    for i in range(f_length):\n",
    "        if f[i]<=1.3*f_i:\n",
    "            result[-1].append(math.log(lst[i],10))\n",
    "        else:\n",
    "            if len(result[-1])<=2:\n",
    "                result[-1].append(math.log(lst[i],10))\n",
    "            else:\n",
    "                result.append([])\n",
    "                result[-1].append(math.log(lst[i],10))\n",
    "                f_i = f[i]\n",
    "    result.pop()\n",
    "    output=[]\n",
    "    for j in range(len(result)):\n",
    "        output.append(np.mean(result[j]))\n",
    "    return output        \n",
    "            \n",
    "\n",
    "def databin_are_std(lst,f):\n",
    "    result = [[]]\n",
    "    f_length = len(f)\n",
    "    f_i = f[0]\n",
    "    for i in range(f_length):\n",
    "        if f[i]<=1.3*f_i:\n",
    "            result[-1].append(math.log(lst[i],10))\n",
    "        else:\n",
    "            if len(result[-1])<=2:\n",
    "                result[-1].append(math.log(lst[i],10))\n",
    "            else:\n",
    "                result.append([])\n",
    "                result[-1].append(math.log(lst[i],10))\n",
    "                f_i = f[i]\n",
    "    result.pop()\n",
    "    output=[]\n",
    "    for j in range(len(result)):\n",
    "        output.append(np.std(result[j]))\n",
    "    return output"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data11 = pd.read_csv(\"PG_11_rate_0310_tb50.csv\")\n",
    "data11['RATE'] = data11['RATE'].interpolate()\n",
    "\n",
    "\n",
    "dt=50\n",
    "counts_data = data11['RATE']\n",
    "N=len(counts_data)\n",
    "pnum = np.arange(len(counts_data))\n",
    "t = [i*dt for i in pnum]\n",
    "\n",
    "\n",
    "nf = N/2\n",
    "df = 1/(dt*N)\n",
    "F_a = np.arange(1,nf+1)\n",
    "F = [i*df for i in F_a]\n",
    "F1 = F[0:int(nf)]\n",
    "mean_x = np.mean(counts_data)\n",
    "dft = fft(counts_data)\n",
    "dft1= dft[1:int(nf)+1]\n",
    "per_data = (abs(dft1)**2)*2*dt/((mean_x**2)*N)\n",
    "p_times_f_data = np.multiply(np.array(F1),np.array(per_data))\n",
    "\n",
    "F1_log_11 = [math.log(i,10) for i in F1]\n",
    "ptf_data_log_00 = [math.log(i,10) for i in p_times_f_data]\n",
    "\n",
    "# 数据分bin\n",
    "F1_binned_11 = databin_are(F1,F1)\n",
    "per_data_binned_11 = databin_are(per_data,F1)\n",
    "per_data_b_std_11 = databin_are_std(per_data,F1)\n",
    "p_times_f_data_b_11 = np.array(F1_binned_11)+np.array(per_data_binned_11)\n",
    "\n",
    "\n",
    "plt.figure(figsize=(10,8))\n",
    "plt.plot(F1_log_11, ptf_data_log_00, color=\"b\", alpha=0.3, linewidth=1)\n",
    "plt.scatter(F1_binned_11, p_times_f_data_b_11, color=\"r\", linewidth=1) \n",
    "plt.errorbar(F1_binned_11, p_times_f_data_b_11, yerr=per_data_b_std_11, fmt='.r')\n",
    "plt.xlabel(\"log frequency\",fontsize=20)\n",
    "plt.ylabel(\"log power*frequency\",fontsize=20)\n",
    "plt.title(\"PSD-2011\",fontsize=20)\n",
    "plt.tick_params(labelsize=15)\n",
    "plt.show()\n",
    "\n",
    "perlist_11 = {'f':F1,'per':per_data}\n",
    "test = pd.DataFrame(perlist_11,columns = ['f','per'])\n",
    "test.to_csv('perlist11.csv')\n",
    "\n",
    "#perb=[10**i for i in per_data_binned_11]\n",
    "#fb=[10**i for i in F1_binned_11]\n",
    "#stdb=[10**i for i in per_data_b_std_11]\n",
    "#perlistbinned_11 = {'f':fb,'per':perb,'std':stdb}\n",
    "#test = pd.DataFrame(perlistbinned_11,columns = ['f','per','std'])\n",
    "#test.to_csv('perlistbinned11.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data142 = pd.read_csv(\"PG_142_rate_0310_tb50_sel.csv\")\n",
    "data142['RATE'] = data142['RATE'].interpolate()\n",
    "\n",
    "\n",
    "dt=50\n",
    "counts_data = data142['RATE']\n",
    "N=len(counts_data)\n",
    "pnum = np.arange(len(counts_data))\n",
    "t = [i*dt for i in pnum]\n",
    "\n",
    "\n",
    "nf = N/2\n",
    "df = 1/(dt*N)\n",
    "F_a = np.arange(1,nf+1)\n",
    "F = [i*df for i in F_a]\n",
    "F1 = F[0:int(nf)]\n",
    "mean_x = np.mean(counts_data)\n",
    "dft = fft(counts_data)\n",
    "dft1= dft[1:int(nf)+1]\n",
    "per_data = (abs(dft1)**2)*2*dt/((mean_x**2)*N)\n",
    "p_times_f_data = np.multiply(np.array(F1),np.array(per_data))\n",
    "\n",
    "F1_log_142 = [math.log(i,10) for i in F1]\n",
    "ptf_data_log_00 = [math.log(i,10) for i in p_times_f_data]\n",
    "\n",
    "# 数据分bin\n",
    "F1_binned_142 = databin_are(F1,F1)\n",
    "per_data_binned_142 = databin_are(per_data,F1)\n",
    "per_data_b_std_142 = databin_are_std(per_data,F1)\n",
    "p_times_f_data_b_142 = np.array(F1_binned_142)+np.array(per_data_binned_142)\n",
    "\n",
    "\n",
    "plt.figure(figsize=(10,8))\n",
    "plt.plot(F1_log_142, ptf_data_log_00, color=\"b\", alpha=0.3, linewidth=1)\n",
    "plt.scatter(F1_binned_142, p_times_f_data_b_142, color=\"r\", linewidth=1) \n",
    "plt.errorbar(F1_binned_142, p_times_f_data_b_142, yerr=per_data_b_std_142, fmt='.r')\n",
    "plt.xlabel(\"log frequency\",fontsize=20)\n",
    "plt.ylabel(\"log power*frequency\",fontsize=20)\n",
    "plt.title(\"PSD-2014(2)\",fontsize=20)\n",
    "plt.tick_params(labelsize=15)\n",
    "plt.show()\n",
    "\n",
    "perlist_142 = {'f':F1,'per':per_data}\n",
    "test = pd.DataFrame(perlist_142,columns = ['f','per'])\n",
    "test.to_csv('perlist142.csv')\n",
    "\n",
    "#perb=[10**i for i in per_data_binned_142]\n",
    "#fb=[10**i for i in F1_binned_142]\n",
    "#stdb=[10**i for i in per_data_b_std_142]\n",
    "#perlistbinned_142 = {'f':fb,'per':perb,'std':stdb}\n",
    "#test = pd.DataFrame(perlistbinned_142,columns = ['f','per','std'])\n",
    "#test.to_csv('perlistbinned142.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data15 = pd.read_csv(\"PG_15_rate_0310_tb50_sel.csv\")\n",
    "data15['RATE'] = data15['RATE'].interpolate()\n",
    "\n",
    "\n",
    "dt=50\n",
    "counts_data = data15['RATE']\n",
    "N=len(counts_data)\n",
    "pnum = np.arange(len(counts_data))\n",
    "t = [i*dt for i in pnum]\n",
    "\n",
    "\n",
    "nf = N/2\n",
    "df = 1/(dt*N)\n",
    "F_a = np.arange(1,nf+1)\n",
    "F = [i*df for i in F_a]\n",
    "F1 = F[0:int(nf)]\n",
    "mean_x = np.mean(counts_data)\n",
    "dft = fft(counts_data)\n",
    "dft1= dft[1:int(nf)+1]\n",
    "per_data = (abs(dft1)**2)*2*dt/((mean_x**2)*N)\n",
    "p_times_f_data = np.multiply(np.array(F1),np.array(per_data))\n",
    "\n",
    "F1_log_15 = [math.log(i,10) for i in F1]\n",
    "ptf_data_log_00 = [math.log(i,10) for i in p_times_f_data]\n",
    "\n",
    "# 数据分bin\n",
    "F1_binned_15 = databin_are(F1,F1)\n",
    "per_data_binned_15 = databin_are(per_data,F1)\n",
    "per_data_b_std_15 = databin_are_std(per_data,F1)\n",
    "p_times_f_data_b_15 = np.array(F1_binned_15)+np.array(per_data_binned_15)\n",
    "\n",
    "\n",
    "plt.figure(figsize=(10,8))\n",
    "plt.plot(F1_log_15, ptf_data_log_00, color=\"b\", alpha=0.3, linewidth=1)\n",
    "plt.scatter(F1_binned_15, p_times_f_data_b_15, color=\"r\", linewidth=1) \n",
    "plt.errorbar(F1_binned_15, p_times_f_data_b_15, yerr=per_data_b_std_15, fmt='.r')\n",
    "plt.xlabel(\"log frequency\",fontsize=20)\n",
    "plt.ylabel(\"log power*frequency\",fontsize=20)\n",
    "plt.title(\"PSD-2015\",fontsize=20)\n",
    "plt.tick_params(labelsize=15)\n",
    "plt.show()\n",
    "\n",
    "perlist_15 = {'f':F1,'per':per_data}\n",
    "test = pd.DataFrame(perlist_15,columns = ['f','per'])\n",
    "test.to_csv('perlist15.csv')\n",
    "\n",
    "#perb=[10**i for i in per_data_binned_15]\n",
    "#fb=[10**i for i in F1_binned_15]\n",
    "#stdb=[10**i for i in per_data_b_std_15]\n",
    "#perlistbinned_15 = {'f':fb,'per':perb,'std':stdb}\n",
    "#test = pd.DataFrame(perlistbinned_15,columns = ['f','per','std'])\n",
    "#test.to_csv('perlistbinned15.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1440 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig= plt.figure(figsize=(20,20))\n",
    "ax1 = plt.subplot(221)\n",
    "ax2 = plt.subplot(222)\n",
    "ax3 = plt.subplot(223)\n",
    "\n",
    "ax1.step(F1_binned_11, p_times_f_data_b_11, where='mid',color=\"b\")\n",
    "ax2.step(F1_binned_142, p_times_f_data_b_142, where='mid',color=\"orange\")\n",
    "ax3.step(F1_binned_15, p_times_f_data_b_15, where='mid', color=\"g\")\n",
    "\n",
    "ax1.errorbar(F1_binned_11, p_times_f_data_b_11, yerr=per_data_b_std_11, fmt=',',color=\"b\", label='2011')\n",
    "ax2.errorbar(F1_binned_142, p_times_f_data_b_142, yerr=per_data_b_std_142, fmt=',',color=\"orange\", label='2014(2)')\n",
    "ax3.errorbar(F1_binned_15, p_times_f_data_b_15, yerr=per_data_b_std_15, fmt=',',color=\"g\",label='2015')\n",
    "\n",
    "\n",
    "ax1.set_xlabel(\"log frequency\",fontsize=20)\n",
    "ax1.set_ylabel(\"log power*frequency\",fontsize=20)\n",
    "ax1.set_xlim(-5.0,-3.0)\n",
    "ax1.set_ylim(-5,-1)\n",
    "ax1.tick_params(labelsize=15)\n",
    "ax1.set_title(\"PSD 2011\",fontsize=23)\n",
    "ax2.set_xlabel(\"log frequency\",fontsize=20)\n",
    "ax2.set_ylabel(\"log power*frequency\",fontsize=20)\n",
    "ax2.set_xlim(-5.0,-3.0)\n",
    "ax2.set_ylim(-5,-1)\n",
    "ax2.tick_params(labelsize=15)\n",
    "ax2.set_title(\"PSD 2014(2)\",fontsize=23)\n",
    "ax3.set_xlabel(\"log frequency\",fontsize=20)\n",
    "ax3.set_ylabel(\"log power*frequency\",fontsize=20)\n",
    "ax3.set_xlim(-5.0,-3.0)\n",
    "ax3.set_ylim(-5,-1)\n",
    "ax3.tick_params(labelsize=15)\n",
    "ax3.set_title(\"PSD 2015\",fontsize=23)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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